20451456 has 96 divisors (see below), whose sum is σ = 60425820. Its totient is φ = 6635520.

The previous prime is 20451451. The next prime is 20451463. The reversal of 20451456 is 65415402.

20451456 is a `hidden beast` number, since 204 + 5 + 1 + 456 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15681600 + 4769856 = 3960^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20451451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47016 + ... + 47448.

Almost surely, 2^20451456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20451456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30212910).

20451456 is an abundant number, since it is smaller than the sum of its proper divisors (39974364).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20451456 is a wasteful number, since it uses less digits than its factorization.

20451456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 20451456 is about 4522.3286037173. The cubic root of 20451456 is about 273.4689841581.

Adding to 20451456 its reverse (65415402), we get a palindrome (85866858).

The spelling of 20451456 in words is "twenty million, four hundred fifty-one thousand, four hundred fifty-six".